Snub tilings | Chiral polyhedra | Uniform polyhedra | Archimedean solids

Snub dodecahedron

In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces. The snub dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are pentagons and the other 80 are equilateral triangles. It also has 150 edges, and 60 vertices. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two snub dodecahedra, and the convex hull of both forms is a truncated icosidodecahedron. Kepler first named it in Latin as dodecahedron simum in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from either the dodecahedron or the icosahedron, called it snub icosidodecahedron, with a vertical extended Schläfli symbol and flat Schläfli symbol sr{5,3}. (Wikipedia).

Snub dodecahedron
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How to Construct a Dodecahedron

How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode

From playlist Platonic Solids

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The Pop-up Dodecahedron

Instruction to download http://singingbanana.com/popupdodecahedron.pdf More information about the dodecahedron that I would have like to have gone into in this video http://uk.youtube.com/watch?v=-lqpSpje42o Dodecahedron at wikipedia http://en.wikipedia.org/wiki/Dodecahedron Plato

From playlist My Maths Videos

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Inside-Out Logic

A fold-up, slice-and-dice dodecahedron and its complement. With a 3D printer, you can make your own using the files here: http://georgehart.com/rp/T-O-M/t-o-m.html

From playlist Odds and Ends

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Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51

The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str

From playlist Universal Hyperbolic Geometry

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Regular polyhedra

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.

From playlist 3D printing

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Dodecahedron in Geogebra

Dodecahedron in Geogebra Step by step tutorial on this link: https://youtu.be/FPDOfPhheFk In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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Live CEOing Ep 186: Polyhedra in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Polyhedra in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

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Dissecting a Playdough Rhombic Dodecahedron with Miles

This is a playful demonstration of how a rhombic dodecahedron can be diced up and the pieces rearranged to make three of the Platonic solids. Three cuts yield eight pieces that form two cubes. Four cuts yield 14 pieces that form two tetrahedrons and one octahedron. Special thanks to 10-

From playlist Recreational Math Videos

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Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

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Thin Groups and Applications - Alex Kontorovich

Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu

From playlist Analysis and Beyond

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AlgTop8: Polyhedra and Euler's formula

We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and the flow down a sphere. This is the eighth lecture in this beginner's

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021

If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc

From playlist Celebration of Mind 2021

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Dodecaplex: the puzzle from the fourth dimension!

Check out Dodecaplex on Maths Gear! https://mathsgear.co.uk/products/dodecaplex-puzzle Dodecaplex is based on the mathematics of Saul Schleimer and Henry Segerman. Henry Segerman http://www.segerman.org/ Saul Schleimer http://homepages.warwick.ac.uk/~masgar/ You can read more about the

From playlist Guest appearances

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Playing with Platonic and Archimedean Solids by Swati Sircar and Susy Varughese

SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS POPULAR TALKS (TITLE AND ABSTRACT) June 17, Friday, 15:45 - 16:45 hrs Swati Sircar (AzimPremji University, Bengaluru, India) Title: Playing with Platonic and Archimedean Solids Abstract: While the 5 Platonic solids are quite popular

From playlist Summer School for Women in Mathematics and Statistics - 2022

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Narayana's Cow and Other Algebraic Numbers

To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Ed Pegg Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.

From playlist Wolfram Technology Conference 2018

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Algebraic Tilings

A previously unknown substitution tiling can be built from powers 0 to 4 of a complex root of x^3 == x^2 + 1. In this talk, Ed Pegg discusses how algebraic numbers and barycentric coordinates can be used to explore both a new branch of tiling systems and simple representations for some old

From playlist Wolfram Technology Conference 2020

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Mathematical Games Hosted by Ed Pegg Jr. [Episode 3: Algebraic Number Magic]

Join Ed Pegg Jr. as he explores a variety of games and puzzles using Wolfram Language. In this episode, he features games and puzzles focusing on algebraic number magic. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.f

From playlist Mathematical Games Hosted by Ed Pegg Jr.

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Dodecahedron in Geogebra [Tutorial]

Dodecahedron in Geogebra [Tutorial] In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/

From playlist Geogebra [Tutoriali]

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Geometry and arithmetic of sphere packings - Alex Kontorovich

Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Related pages

Rotation matrix | Great retrosnub icosidodecahedron | Alternation (geometry) | Convex hull | Chirality (mathematics) | Face (geometry) | Harmonices Mundi | Coxeter–Dynkin diagram | Rhombicosidodecahedron | Pentagon | Regular graph | Schlegel diagram | Archimedean solid | Schläfli symbol | Truncated icosidodecahedron | Dodecahedron | Isogonal figure | Generating set of a group | Digon | Equilateral triangle | Golden ratio | Orbifold notation | Graph theory | Mathematics | Vertex (graph theory) | Regular icosahedron | Expansion (geometry) | Compound of two snub dodecahedra | Snub (geometry) | Geometry | Regular polygon | Mirror image | Great snub icosidodecahedron | Midsphere | Great inverted snub icosidodecahedron | Sphericity | Archimedean graph